In addition to parabolic vector bundles, we will also require coparabolic vector
bundles, in order to use Serre duality.
The essential idea is that while the parabolic sheaves associated to parabolic vector bundles are unchanged in intervals of
the form \((\alpha ^i, \alpha ^{i+1}]\) , coparabolic vector bundles are unchanged in
intervals of the form \([\alpha ^i, \alpha ^{i+1})\) .
I.e., parabolic vector bundles can be viewed as lower semicontinuous functors, taking
the discrete topology on the set of isomorphism classes of vector bundles, while coparabolic vector
bundles
can be viewed as upper semicontinuous functors, see [1]}.
